431513 has 2 divisors, whose sum is σ = 431514. Its totient is φ = 431512.

The previous prime is 431479. The next prime is 431521. The reversal of 431513 is 315134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 104329 = 572^2 + 323^2 .

It is a cyclic number.

It is not a de Polignac number, because 431513 - 2⁶ = 431449 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 431491 and 431500.

It is not a weakly prime, because it can be changed into another prime (431533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215756 + 215757.

It is an arithmetic number, because the mean of its divisors is an integer number (215757).

2⁴³¹⁵¹³ is an apocalyptic number.

It is an amenable number.

431513 is a deficient number, since it is larger than the sum of its proper divisors (1).

431513 is an equidigital number, since it uses as much as digits as its factorization.

431513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 17.

The square root of 431513 is about 656.8964910852. The cubic root of 431513 is about 75.5668457593.

Adding to 431513 its reverse (315134), we get a palindrome (746647).

The spelling of 431513 in words is "four hundred thirty-one thousand, five hundred thirteen".